⟨(I − T) x − (I − T) y, j (x − y)⟩ ≥ k 󵄩󵄩󵄩󵄩x − y 󵄩󵄩󵄩󵄩 2 (4) for all x, y ∈ D(T), where k = (t − 1)/t ∈ (0, 1). Consequently, from inequality (4) it follows easily that T is strongly pseudocontractive if and only if 󵄩󵄩󵄩󵄩x − y 󵄩󵄩󵄩󵄩 ≤ 󵄩󵄩󵄩󵄩x − y + s [(I − T − kI) x − (I − T − kI) y] 󵄩󵄩󵄩󵄩 (5) for all x, y ∈ D(T) and s > 0. Closely related to the class of pseudocontractive maps is the class of accret...

The aim of this paper is to introduce an iterative algorithm for finding a common solution of the sets A M2 −1 0 and B M1 −1 0 , where M is a maximal accretive operator in a Banach space and, by using the proposed algorithm, to establish some strong convergence theorems for common solutions of the two sets above in a uniformly convex and 2-uniformly smooth Banach space. The results obtained in ...

Let $A$ be an unital alternative $*$-algebra. Assume that contains a nontrivial symmetric idempotent element $e$ which satisfies $xA \cdot e = 0$ implies $x and (1_A - e) 0$. In this paper, it is shown $\Phi$ nonlinear $*$-Jordan-type derivation on A if only additive $*$-derivation. As application, we get result $W^{*}$-algebras.

The glueballs lead to gluon and QCD monopole condensations as by-products of color confinement. A dielectric function $G(|\phi|)$ coupled with Abelian gauge field is properly defined mediate the glueball interactions at confining regime after {\it spontaneous symmetry breaking} (SSB) symmetry. particles are expected form through quark plasma (QGP) hadronization phase where free quarks gluons st...

We study the adiabatic limit of the eta invariant of the Dirac operator over cofinite quotient of PSL(2,R), which is a noncompact manifold with a nonexact fibred-cusp metric near the ends.

We introduce composite iterative schemes by the viscosity iteration method for finding a zero of an accretive operator in reflexive Banach spaces. Then, under certain differen control conditions, we establish strong convergence theorems on the composite iterative schemes. The main theorems improve and develop the recent corresponding results of Aoyama et al. 2007 , Chen and Zhu 2006, 2008 , Jun...

In this paper, we consider the following system $$ \left \{ \textstyle\begin{array}{ll} n_{t}+u\cdot \nabla n&=\Delta n-\nabla \cdot (n\mathcal{S}(|\nabla c|^{2}) c)-nm, \\ c_{t}+u\cdot c&=\Delta c-c+m, m_{t}+u\cdot m&=\Delta m-mn, u_{t}&=\Delta u+\nabla P+(n+m)\nabla \Phi ,\qquad u=0 \end{array}\displaystyle \right . which models process of coral fertilization, in a smoothly three-dimensional ...

This review is devoted to the discussion of hadron properties in the nuclear medium and its relation to the partial restoration of chiral symmetry. Special attention is given to disentangle inmedium effects due to conventional many-body interactions from those due to the change of the chiral condensate. In particular, we shall discuss medium effects on the Goldstone bosons (pion, kaon and eta),...

An exposition is made of recent developments using techniques of unitary chiral perturbation theory, UχPT , which allows one to extend predictions using chiral Lagrangians to higher energies than ordinary chiral perturbation theory, including the region of low lying mesonic and baryonic resonances, some of which are dynamically generated in the approach. Results for meson meson scattering, pion...